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The log-rank test is most powerful under proportional hazards (PH). In practice, non-PH patterns are often observed in clinical trials, such as in immuno-oncology; therefore, alternative methods are needed to restore the efficiency of…

Limited-information inference on New Keynesian Phillips Curves (NKPCs) and other single-equation macroeconomic relations is characterised by weak and high-dimensional instrumental variables (IVs). Beyond the efficiency concerns previously…

General Economics · Economics 2021-03-23 Max-Sebastian Dovì

Montiel Olea and Pflueger (2013) proposed the effective F-statistic as a test for weak instruments in terms of the Nagar bias of the two-stage least squares (2SLS) estimator relative to a benchmark worst-case bias. We show that their…

Econometrics · Economics 2025-01-22 Frank Windmeijer

We introduce a new test for a two-sided hypothesis involving a subset of the structural parameter vector in the linear instrumental variables (IVs) model. Guggenberger et al. (2019), GKM19 from now on, introduce a subvector Anderson-Rubin…

Econometrics · Economics 2022-10-28 Patrik Guggenberger , Frank Kleibergen , Sophocles Mavroeidis

The Hansen-Jagannathan (HJ) distance statistic is one of the most dominant measures of model misspecification. However, the conventional HJ specification test procedure has poor finite sample performance, and we show that it can be size…

Econometrics · Economics 2023-07-28 Lingwei Kong

This paper introduces a class of jackknife-based test statistics for linear regression models with endogeneity and heteroskedasticity in the presence of many potentially weak instrumental variables. The tests may be used when considering…

Econometrics · Economics 2026-04-20 Federico Crudu , Giovanni Mellace , Zsolt Sándor

Testing heteroscedasticity of the errors is a major challenge in high-dimensional regressions where the number of covariates is large compared to the sample size. Traditional procedures such as the White and the Breusch-Pagan tests…

Methodology · Statistics 2017-10-16 Zhaoyuan Li , Jianfeng Yao

Knee osteoarthritis (OA) assessment involves a natural but often underused label hierarchy: a coarse binary OA decision and a fine-grained Kellgren--Lawrence (KL) severity grade. Existing deep learning studies commonly treat these targets…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Tongxu Zhang

Tests based on heteroskedasticity robust standard errors are an important technique in econometric practice. Choosing the right critical value, however, is not simple at all: conventional critical values based on asymptotics often lead to…

Statistics Theory · Mathematics 2025-05-07 Benedikt M. Pötscher , David Preinerstorfer

We consider hypothesis testing in instrumental variable regression models with few included exogenous covariates but many instruments -- possibly more than the number of observations. We show that a ridge-regularised version of the…

Econometrics · Economics 2023-11-07 Max-Sebastian Dovì , Anders Bredahl Kock , Sophocles Mavroeidis

In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR) Yamabe problem, Jerison-Lee found a three-dimensional family of differential identities for critical exponent subelliptic equation on…

Analysis of PDEs · Mathematics 2024-04-22 Xi-Nan Ma , Qianzhong Ou , Tian Wu

We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

Methodology · Statistics 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

Many evaluation measures are used to evaluate social biases in masked language models (MLMs). However, we find that these previously proposed evaluation measures are lacking robustness in scenarios with limited datasets. This is because…

Computation and Language · Computer Science 2024-01-23 Yang Liu

Complex data are often represented as a graph, which in turn can often be viewed as a realisation of a random graph, such as an inhomogeneous random graph model (IRG). For general fast goodness-of-fit tests in high dimensions, kernelised…

Machine Learning · Statistics 2026-04-02 Anum Fatima , Gesine Reinert

This paper is concerned with the findings related to the robust first-stage F-statistic in the Monte Carlo analysis of Andrews (2018), who found in a heteroskedastic grouped-data design that even for very large values of the robust…

Econometrics · Economics 2022-08-04 Frank Windmeijer

Machine Learning Interatomic Potentials (MLIPs) sometimes fail to reproduce the physical smoothness of the quantum potential energy surface (PES), leading to erroneous behavior in downstream simulations that standard energy and force…

Machine Learning · Computer Science 2026-02-05 Ryan Liu , Eric Qu , Tobias Kreiman , Samuel M. Blau , Aditi S. Krishnapriyan

We consider Wald type statistics designed for joint predictability and structural break testing based on the instrumentation method of Phillips and Magdalinos (2009). We show that under the assumption of nonstationary predictors: (i) the…

Econometrics · Economics 2023-07-31 Christis Katsouris

In this paper, we propose a simple method for testing identifying assumptions in parametric separable models, namely treatment exogeneity, instrument validity, and/or homoskedasticity. We show that the testable implications can be written…

Econometrics · Economics 2024-10-17 Leonard Goff , Désiré Kédagni , Huan Wu

When multi-dimensional instruments are used to identify and estimate causal effects, the monotonicity condition may not hold due to heterogeneity in the population. Under a partial monotonicity condition, which only requires the…

Econometrics · Economics 2023-08-28 Hongyi Jiang , Zhenting Sun

Panel data methods are widely used in empirical analysis to address unobserved heterogeneity, but causal inference remains challenging when treatments are endogenous and confounding variables high-dimensional and potentially nonlinear.…

Econometrics · Economics 2026-03-24 Anna Baiardi , Paul S. Clarke , Andrea A. Naghi , Annalivia Polselli